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2056596919056 = 243212729412
BaseRepresentation
bin11101111011010110101…
…110101001001100010000
321021121102202221020021100
4131323112232221030100
5232143402302402211
64212442041224400
7301404250244001
oct35732656511420
97247382836240
102056596919056
1172321a388859
122926ba192100
1311bc22c5a2a4
147177b3b31a8
153876baba156
hex1ded6ba9310

2056596919056 has 135 divisors (see below), whose sum is σ = 5807463220533. Its totient is φ = 679411635840.

The previous prime is 2056596919049. The next prime is 2056596919067. The reversal of 2056596919056 is 6509196956502.

The square root of 2056596919056 is 1434084.

It is a perfect power (a square), and thus also a powerful number.

2056596919056 is a `hidden beast` number, since 2 + 0 + 565 + 9 + 6 + 9 + 19 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1275282352656 + 781314566400 = 1129284^2 + 883920^2 .

It is a super-2 number, since 2×20565969190562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2056596918984 and 2056596919002.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2185543546 + ... + 2185544486.

Almost surely, 22056596919056 is an apocalyptic number.

2056596919056 is the 1434084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056596919056

2056596919056 is an abundant number, since it is smaller than the sum of its proper divisors (3750866301477).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2056596919056 is an frugal number, since it uses more digits than its factorization.

2056596919056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 39366000, while the sum is 63.

The spelling of 2056596919056 in words is "two trillion, fifty-six billion, five hundred ninety-six million, nine hundred nineteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 941 1016 1143 1524 1882 2032 2286 2823 3048 3764 4572 5646 6096 7528 8469 9144 11292 15056 16129 16938 18288 22584 32258 33876 45168 48387 64516 67752 96774 119507 129032 135504 145161 193548 239014 258064 290322 358521 387096 478028 580644 717042 774192 885481 956056 1075563 1161288 1434084 1770962 1912112 2151126 2322576 2656443 2868168 3541924 4302252 5312886 5736336 7083848 7969329 8604504 10625772 14167696 15177389 15938658 17209008 21251544 30354778 31877316 42503088 45532167 60709556 63754632 91064334 112456087 121419112 127509264 136596501 182128668 224912174 242838224 273193002 337368261 364257336 449824348 546386004 674736522 728514672 899648696 1012104783 1092772008 1349473044 1799297392 2024209566 2185544016 2698946088 4048419132 5397892176 8096838264 14281923049 16193676528 28563846098 42845769147 57127692196 85691538294 114255384392 128537307441 171383076588 228510768784 257074614882 342766153176 514149229764 685532306352 1028298459528 2056596919056